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Tim NewcombCobb and Eddie Collins. Both came up about when BB cards took off and played into the late 1920s. I'd guess they were in almost every set of significance for 20 years. Speaker shares the same timetable, but for some reason doesn't appear in quite as many sets (he's not in E92, E101, M101-4/5, for example).
If you did limit it only to pre-1920 issues, then I think Frank Chance would be right up there too. I have a ton of Chance cards-- he seems to be in almost everything before 1915. including (these are the ones I have-- I'm sure there are others)
M116T205E98T201T202T206T207T3M101-2E95E90-1E92Tom BarkerE93M101-4/5E101E94E254T222